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Finding the Third Proportional to 119,145 and 185,751

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Solution

The third proportional to 119,145 and 185,751 is: 289,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,145 : 185,751 = 185,751 : x
  2. Step 2: Convert to fraction form
    119,145/185,751 = 185,751/x
  3. Step 3: Cross multiply
    119,145x = 185,751 × 185,751
  4. Step 4: Simplify right side
    119,145x = 34,503,434,001
  5. Step 5: Solve for x
    x = 34,503,434,001/119,145
  6. Step 6: Final answer
    x = 289,591.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.